To be able to solve three-dimensional equilibrium problems using the equations of equilibrium. Part A As with two-dimensional problems, a free-body diagram is the first step in solving three-dimensional equilibrium problems. For the free- body diagram, it is important to identify the appropriate reaction forces and couple moments that act in three dimensions. At a support, a force arises when translation of the attached member is restricted and The J-shaped member shown in the figure(Figure 1) is supported by a cable DE and a single journal bearing with a square shaft at A. Determine the reaction forces A, and A, at support A required to keep the system in equilibrium. The cylinder has a weight WB = 6.00 lb, and F = 1.80 lb is a vertical force applied to the member at C. The dimensions of the member are w = 1.50 ft , 1= 6.00 ft , and h = 2.00 ft Express your answers numerically in pounds to three significant figures separated by a comma. a couple moment arises when rotation is prevented.For a rigid body to be in equilibrium when subjected to a force system, both the resultant force and the resultant couple moment acting on the body must be zero. These two conditions are expressed as • View Available Hint(s) EF =0 VG AEO t vec £Mo=0 where F is the sum of all external forces acting on the body and EMo is the sum of the couple moments and the moments of all the forces about any point O. Ay, A = Ib These two equations are equivalent to six scalar equilibrium equations that can be used to find up to six unknowns identified in a free-body diagram. These equations require that the sum of the external force components in the x, y, and z directions must be zero and the sum of the moment components about the x, y, and z axes are also zero. Submit Part B Complete previous part(s) Provide Feedback Next > Figure < 1 of 1>

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Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.